A grocer has two kinds of tea, one that sells for $$ 8.00$ per pound and the other that sells for $$ 6.00$ per pound.
How many pounds of each kind must he use to make $50$ pounds of tea that will sell for $$ 7.40$ per pound?

Open in App

Solution

Calculate the amount of the first and second types of tea:
Let the pounds sold of the first type of tea be $x$ .
The pounds sold for the second type tea $50 - x$ .
The grocer sells the first type of tea for $$ 8.00$ per pound.
The Selling amount of $x$ pounds $8 x$ .
The grocer sells the second type of tea for $$ 6.00$ per pound.
The Selling amount of $(50 - x)$ pounds is $6 (50 - x)$ .
According to the question:
$∴ 8 x + 6 (50 - x) = (50 \times 7.40) \Rightarrow 8 x + 300 - 6 x = 370 \Rightarrow 2 x = 70 \Rightarrow x = \frac{70}{2} \Rightarrow x = 35$
So, the pounds sold for the second type of tea $50 - 35 = 15 pounds$ .
Hence, the first type of tea of $35$ pounds and the second type of tea of $15$ pounds use to make $50$ pounds of tea that will sell for $$ 7.40$ per pound.

Suggest Corrections

Similar questions

The local farmer’s market sells a $4$ pound basket of pears for $$ 6.00$ . What is the price per pound?

On every Friday, a veggie store owner offers a discount of

30 %

on potatoes, which he sell for

$ 0.90

per pound on other days. The store also sells carrots for

3.50$ per pound. If a customer buys

2

pound of carrots and

p

pounds of potatoes then the total cost,

c

, customer has to pay is

Q. Alex wants to mix two different varieties of tea worth 20 dollars per pound and 24 dollars per pound and sell them at a higher price. At what ratio will he have to mix the two varieties to sell at 33 dollars per pound to gain a 10% gain?

A storekeeper wants to mix two types of flour to get $300 pounds$ , so he can sell it by $$ 2.50$ per pound.

If he uses flour worth $$ 2.40$ a pound with another flour worth $$ 3.00$ a pound, how many pounds of each does he use?

How many cashews at $$ 1.58$ per pound must be mixed with walnuts that cost $78$ cents per pound to make a mixture of $40$ pounds of nuts that cost $$ 1.50$ per pound?

Join BYJU'S Learning Program

A grocer has two kinds of tea, one that sells for$8.00 per pound and the other that sells for $6.00 per pound. How many pounds of each kind must he use to make 50 pounds of tea that will sell for $7.40 per pound?

A grocer has two kinds of tea, one that sells for $$ 8.00$ per pound and the other that sells for $$ 6.00$ per pound.
How many pounds of each kind must he use to make $50$ pounds of tea that will sell for $$ 7.40$ per pound?